Quarter 1: M.6.1.1 Compute fluently with multi-digit numbers and find common factors and multiples M.6.1.2 Divide multi-digit numbers using the standard algorithm M.6.1.3 Fluently add, subtract, multiply and divide multi-digit decimals using the standard algorithm for each operation M.6.1.4 Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. M.6.1.6 Interpret and compute quotients of fractions and solve world problems involving division of fractions by fractions. M.6.10 Understand ordering and absolute value of rational numbers.
Quarter 2: M.6.2.1 Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. M.6.2.2 Understand the concept of a unit rate a/b associated with a ratio a:b with b not equal to 0 and use rate language in the context of a ratio relationship. M.6.2.3 Use ratio and rate reasoning to solve real-world and mathematical problems. M.6.2.5 Find a percent of a quantity as a rate per 100
7th Grade:
Quarter 1: M.7.1.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers, represent addition and subtraction on a horizontal or vertical number line (Week 5) M.7.1.2 Describe situations in which opposite quantities combine to make zero (Week 6) M.7.1.3 Understand p + q as the number located a distance |q| from p in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of zero (are additive inverses). Interpret sums of rational numbers by describing real-world contexts. (Week 5, 6) M.7.1.4 Understand subtraction of rational numbers as adding the additive inverse, p - q = p + (-q). Show that the distance between two rational numbers on the number line is the absolute value of their of their differences and apply the principle in real-world contexts. (Weeks 5, 6) M.7.1.5 Apply properties of operations as strategies to add and subtract rational numbers. (Weeks 6, 7, 8, 9) M.7.1.6 Apply and extend previous understanding of multiplication and division and of fractions to multiply and divide rational numbers (Week 7, 8, 9) M.7.1.9 Apply properties of operations as strategies to multiply and divide rational numbers(Week 7, 8, 9)
Quarter 2: M.7.2.1 Compute unit rates associated with ratios of fractions including ratios of lengths, areas and other quantities measured in like or different units. M.7.2.2 Recognize and represent proportional relationships between quantities. M.7.2.3 Decide whether two quantities are in a proportional relationship. M.7.2.4 Identify the constant of proportionality in tables, graphs, equations, diagrams and verbal descriptions of proportional relationships M.7.2.5 Represent proportional relationships by equations.
8th Grade:
Quarter 1: M.8.2.1 Understand informally that every number has a decimal expansion; the rationals are those with decimal expansions that terminate in 0s or eventually repeat. Know that other numbers are irrational. (Weeks 5, 6) M.8.1.2 Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram and estimate the value of expression (Week 7) M.8.2.2 Use square roots. Evaluate square roots of small perfect squares (Week 7) (Section 4-5; Page 182) Sections 11-2 through 11-6 (Week 8 - Week 9) M.8.2.7 Solve linear equations in one variable M.8.2.8 Give examples of linear equations in one variable with one solution M.8.2.9 Analyze and solve pairs of simultaneous linear equations M.8.2.11 Solve systems of two linear equations with rational number coefficients including equations whose solutions require expanding expressions using the distributive property
Quarter 2: Sections 11-2 through 11-6 (Week 10 - Week 14) M.8.2.7 Solve linear equations in one variable M.8.2.8 Give examples of linear equations in one variable with one solution M.8.2.9 Analyze and solve pairs of simultaneous linear equations M.8.2.11 Solve systems of two linear equations with rational number coefficients including equations which require expanding expressions using the distributive property Chapter 12: Graphing Lines (Week 15) M.8.3.1 Understand that a function is a rule that assigns to each input exactly one output (Weeks 14, 15) (Section 12-1; Page 632) Exponents: Page 162; Section 4-1; / HSPT Example: Page 288; #1, Pages 336-337; #3 and #5, Page 384; #178 M.8.2.1 Know and apply the properties of integer exponents to generate equivalent numerical expressions (Week 15) (Section 4-2; Page 166) M.8.2.3 Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities (Section 4-4; Page 174) M.8.2.4 Perform operations with numbers expressed in scientific notation (Section 4-4; Page 174) M.8.2.2 Cont'd Use cube roots. Evaluate cube roots of small perfect cubes (Section 4-6 Lab; Page 192)
6th Grade:
Quarter 1:M.6.1.1 Compute fluently with multi-digit numbers and find common factors and multiples
M.6.1.2 Divide multi-digit numbers using the standard algorithm
M.6.1.3 Fluently add, subtract, multiply and divide multi-digit decimals using the standard algorithm for each operation
M.6.1.4 Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12.
M.6.1.6 Interpret and compute quotients of fractions and solve world problems involving division of fractions by fractions.
M.6.10 Understand ordering and absolute value of rational numbers.
Quarter 2:
M.6.2.1 Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.
M.6.2.2 Understand the concept of a unit rate a/b associated with a ratio a:b with b not equal to 0 and use rate language in the context of a ratio relationship.
M.6.2.3 Use ratio and rate reasoning to solve real-world and mathematical problems.
M.6.2.5 Find a percent of a quantity as a rate per 100
7th Grade:
Quarter 1:M.7.1.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers, represent addition and subtraction on a horizontal or vertical number line (Week 5)
M.7.1.2 Describe situations in which opposite quantities combine to make zero (Week 6)
M.7.1.3 Understand p + q as the number located a distance |q| from p in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of zero (are additive inverses). Interpret sums of rational numbers by describing real-world contexts. (Week 5, 6)
M.7.1.4 Understand subtraction of rational numbers as adding the additive inverse, p - q = p + (-q). Show that the distance between two rational numbers on the number line is the absolute value of their of their differences and apply the principle in real-world contexts. (Weeks 5, 6)
M.7.1.5 Apply properties of operations as strategies to add and subtract rational numbers. (Weeks 6, 7, 8, 9)
M.7.1.6 Apply and extend previous understanding of multiplication and division and of fractions to multiply and divide rational numbers (Week 7, 8, 9)
M.7.1.9 Apply properties of operations as strategies to multiply and divide rational numbers (Week 7, 8, 9)
Quarter 2:
M.7.2.1 Compute unit rates associated with ratios of fractions including ratios of lengths, areas and other quantities measured in like or different units.
M.7.2.2 Recognize and represent proportional relationships between quantities.
M.7.2.3 Decide whether two quantities are in a proportional relationship.
M.7.2.4 Identify the constant of proportionality in tables, graphs, equations, diagrams and verbal descriptions of proportional relationships
M.7.2.5 Represent proportional relationships by equations.
8th Grade:
Quarter 1:M.8.2.1 Understand informally that every number has a decimal expansion; the rationals are those with decimal expansions that terminate in 0s or eventually repeat. Know that other numbers are irrational. (Weeks 5, 6)
M.8.1.2 Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram and estimate the value of expression (Week 7)
M.8.2.2 Use square roots. Evaluate square roots of small perfect squares (Week 7) (Section 4-5; Page 182)
Sections 11-2 through 11-6 (Week 8 - Week 9)
M.8.2.7 Solve linear equations in one variable
M.8.2.8 Give examples of linear equations in one variable with one solution
M.8.2.9 Analyze and solve pairs of simultaneous linear equations
M.8.2.11 Solve systems of two linear equations with rational number coefficients including equations whose solutions require expanding expressions using the distributive property
Quarter 2:
Sections 11-2 through 11-6 (Week 10 - Week 14)
M.8.2.7 Solve linear equations in one variable
M.8.2.8 Give examples of linear equations in one variable with one solution
M.8.2.9 Analyze and solve pairs of simultaneous linear equations
M.8.2.11 Solve systems of two linear equations with rational number coefficients including equations which require expanding expressions using the distributive property
Chapter 12: Graphing Lines (Week 15)
M.8.3.1 Understand that a function is a rule that assigns to each input exactly one output (Weeks 14, 15) (Section 12-1; Page 632)
Exponents: Page 162; Section 4-1; / HSPT Example: Page 288; #1, Pages 336-337; #3 and #5, Page 384; #178
M.8.2.1 Know and apply the properties of integer exponents to generate equivalent numerical expressions (Week 15) (Section 4-2; Page 166)
M.8.2.3 Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities (Section 4-4; Page 174)
M.8.2.4 Perform operations with numbers expressed in scientific notation (Section 4-4; Page 174)
M.8.2.2 Cont'd Use cube roots. Evaluate cube roots of small perfect cubes (Section 4-6 Lab; Page 192)